Suppose that gcd(a, b)=1. Prove that for every integer c, the equation ax+by=c has a solution in integers x and y. [Hint: Find a solution to au+bv=1 and multiply by c] Find a solution to 37x + 47y = 103. Try to make x and y as small as possible

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. the mean arrival rate is 10 passengers per minutes. compute the following probabilities. p(x = 4) p(x > 11)

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

The graph shows the distance kerri drives on a trip. what is kerri's speed . a. 25 b.75 c.60 d.50